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Finding the Third Proportional to 305,261.25 and 448,745.63

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Solution

The third proportional to 305,261.25 and 448,745.63 is: 659,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,261.25 : 448,745.63 = 448,745.63 : x
  2. Step 2: Convert to fraction form
    305,261.25/448,745.63 = 448,745.63/x
  3. Step 3: Cross multiply
    305,261.25x = 448,745.63 × 448,745.63
  4. Step 4: Simplify right side
    305,261.25x = 201,372,635,956.64
  5. Step 5: Solve for x
    x = 201,372,635,956.64/305,261.25
  6. Step 6: Final answer
    x = 659,673.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.